Scielo RSS <![CDATA[Proyecciones (Antofagasta)]]> http://www.scielo.cl/rss.php?pid=0716-091720020002&lang=en vol. 21 num. 2 lang. en <![CDATA[SciELO Logo]]> http://www.scielo.cl/img/en/fbpelogp.gif http://www.scielo.cl <![CDATA[SPECTRE D’ORDRE UN POUR UN PROBLEME HYPERBOLIQUE ET APPLICATIONS]]> http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200001&lng=en&nrm=iso&tlng=en We define and determine the spectrum of order one of the d’Alembertian operator. We resolve the Fredholm alternative and the nonlinear problem at resonance <![CDATA[PROCEDIMIENTO MATEMATICO PARA EVALUAR EL TRANSITO HACIA EMPRESAS DE CLASES. GENERALIDADES]]> http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200002&lng=en&nrm=iso&tlng=en En el presente se destacan como aspectos novedosos la utilización creativa de los conceptos y principios de las relaciones de sobreclasificación borrosa para la determinación de los índices de credibilidad experto estadío, la propuesta de la autora de enfocar el problema de integración de las preferencias de los expertos como un problema multicriterios borroso, el análisis de éstas como conjuntos borrosos y la definición de indicadores como proximidad, alejamiento, debilidades, fortalezas, entropía o desorden, así como la propia manera de clasificar <![CDATA[A NOTE ON ASYMPTOTIC SMOOTHNESS OF THE EXTENSIONS OF ZADEH]]> http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200003&lng=en&nrm=iso&tlng=en The concept of asymptotic smooth transformation was introduced by J. Hale [10]. It is a very important property for a transformation between complete metric spaces to have a global attractor. This property has also consequences on asymptotic stability of attractors. In our work we study the conditions under which the Zadeh’s extension of a continuous map f : Rn ! Rn is asymptotically smooth in the complete metric space F (Rn ) of normal fuzzy sets with the induced Hausdorff metric d 1 (see Kloeden and Diamond [8] ) <![CDATA[DIFFERENTIABILITY OF SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY]]> http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200004&lng=en&nrm=iso&tlng=en In this note we establish a criterion to obtain classical solutions for a quasi-linear abstract retarded functional differential the infinitesimal generators of several strongly continuous semigroup of linear operators that arise in the theory of linear abstract retarded functional differential equations with infinite delay on a phase space defined axiomatically. 2000 Mathematics Subject Classification. 34K30, 34G10, 47D06 <![CDATA[ON THE COHOMOLOGY OF FOLIATED BUNDLES]]> http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000200005&lng=en&nrm=iso&tlng=en We prove a de Rham-like theorem for foliated bundles F ! (M; F )¼ ! B showing that the cohomology H¤( F ) is isomorphicto the equivariant cohomology H¡ ³ eB; C1 (F); ¡ = ¼1 (B)and eB the universal covering of B. When B is an Eilenberg-Mac Lane space K (¡; 1) the cohomology H¤ ( F ) is the cohomology of the ¡-module C1 (F). This gives algebraic models for H¤ ( F ) and geometrial models for the cohomology of the ¡-module C1 (F). Using this isomorphism and a theorem of J. Palis and J.C. Yoccoz on the triviality of centralizers of diffeomorphisms, [14] and [15] we show that H¤( F ) is infinite dimensional for a large class of foliated bundles. Using this isomorphism R. u. Luz computed in [9] the cohomology of the foliated bunddles suspensions of actions of Z P by afine transformations of T Q. AMS (MOS) Subj class: 57R30